Course 2 on quantum field theory: Klein paradox (transmission/reflection from a potential barrier)

Course 2 on quantum field theory: Klein paradox (transmission/reflection from a potential barrier)

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Course 2 on quantum field theory: Klein paradox (transmission/reflection from a potential barrier)
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Lesson 2 covers an interesting paradox that arises when using the Klein-Gordon equation to describe reflection and transmission from a potential barrier.

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My name is Nick Heumann, I am a recently graduated physicist. I love teaching physics, so I decided to try YouTube. English is not my native language, but I hope you can understand me well enough regardless.
▬ Content of this video ▬▬▬▬▬▬▬▬▬▬
00:00 Presentation of the situation
00:50 Using minimal coupling to introduce potential
10:27 Connecting the wave function in region 1
5:40 p.m. Plugging in the wave function in region 2
26h00 Find a condition for p'
29:25 Application of boundary conditions
32:30 Finding probability currents
33h30 Search for probability currents for the incident wave
35:17 Find the probability currents for the reflected wave
39:10 Finding probability currents for the transmitted wave
41:48 Finding R and T (general)
47:25 Find R and T (low potential)
49:30 Finding R and T (intermediate potential)
52:15 Finding R and T (high potential, Klein Paradox)
59:05 Please support my patreon!

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